Circle Perimeter Calculator

Introduction

Welcome to our Circle Perimeter Calculator, using which you can quickly calculate the perimeter of the circle. A circle is a two-dimensional, closed-round shape with no corners or edges. The circle is a figure where all the points on the circle are equidistant i.e. of equal length from the center. The radius of the circle is the length of the distance from the center to the circle’s circumference.

The perimeter of a circle, also known as the circumference, is the distance around the outside of the circle.

How to use the Circle Perimeter Calculator?

Using the Circle Perimeter calculator, you can calculate the perimeter of the circle by inputting the length of the radius.

The variables in the Circle Perimeter Calculator include

Radius (r)
The length of the radius of the circle.

Perimeter or Circumference (P)
The perimeter of a circle is also known as the circumference of the circle.

What is a Circle?

A circle is a two-dimensional geometric shape defined as the curve connecting the set of points on a plane that is a fixed distance from the center of the circle.

Two times the radius is the diameter, it is a line that passes through the center, and its endpoints lie on two distinct points on the circle. So the diameter divides the circle into two halves, called semicircles.

Properties of a Circle

1. All the points in the circle are equidistant from the center.
2. If two circles have the same radius, then the circles will be congruent with each other.
3. The diameter is the largest cord of the circle, and it divides the circle into two equal parts.
4. If two chords are of equal length, they will be equidistant from the center of the circle.
5. The perpendicular bisector drawn from the chord passes through the center of the circle.

How is the Perimeter of the Circle Calculated?

To calculate the perimeter of a circle, we need to know the radius of the circle. So, the radius is the distance from the circle’s center to any point on the circle.

We can calculate the perimeter or circumference of the circle using the following formula

Where,

r = Radius of the circle

Examples

Given a circle of radius 7 cm, what is the circumference of the circle?

We can obtain the circumference of the circle by using the following formula

As shown above, in the calculation, you can see that the circle’s circumference is around 44 cm.